Step-by-step explanation:
[tex]^nC_{k}[/tex] is the number of ways of choosing [tex]k[/tex] distinct objects from a lot of [tex]n[/tex] distinct objects.
In the given question,
[tex]n=7\\k=3\\[/tex]
[tex]^nC_{k}=\frac{n!}{(n-k)!k!}[/tex]
So,[tex]^7C_{3}=\frac{7!}{3!4!}=\frac{210}{6}=35[/tex]
So,there are [tex]35[/tex] ways in which three distinct cards can be selecte from seven distinct cards.
